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scoundrel [369]

2 years ago

15

-3x-5<10 Equations

1 answer:

Andrew [12]2 years ago

6 0

Answer:

x>-5

Step-by-step explanation:

First, we need to isolate the variable. To start doing this we can add five to both sides. We now have -3x<15. We then have to divde by -3. When working with inequalites you flip the inequality sign when dividing by a negative number. That then leaves us without answer, x>-5.

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If the area of the rectangle shown is 150 square feet, we can use the equation 2x2 - 5x = 150 to find its dimensions. If the sol

laiz [17]

What does the 2x2 mean?

4 0

2 years ago

To factor the quadratic expression x^2−8x−10 by completing the square, what value would be added? A. 64 B. 8 C. 16 D.-16

Elan Coil [88]

Answer:

C

Step-by-step explanation:

When completing the square, we essentially want to create a perfect square trinomial by adding a constant.

If we have the following expression:

$x^2+bx$

And we want to complete the square, we will need to divide the b-coefficient by half and then square it.

Thus, the added term should be:

$(b/2)^2$

In the given equation, we have:

$(x^2-8x)-10$

The b term here is 8. Therefore:

$(8/2)^2\\=(4)^2\\=16$

The value we would add would be 16.

The answer is C.

Further notes:

To complete the square, add 16 like mentioned earlier. However, we also need to subtract 16 to balance things out:

$(x^2-8x)-10\\=(x^2-8x+16)-10-16\\$

The expression inside the parentheses is now a perfect square trinomial. Factor it:

$=((x)^2-2(4)(x)+(4)^2)-26\\=(x-4)^2-26$

And we are done!

4 0

2 years ago

Read 2 more answers

How many solutions does the equation −4y + 4y + 2 = 2 have? Two None One Infinitely many

Ulleksa [173]

Answer:

Infinitely many

Step-by-step explanation:

Because the equation is equal to 0+0

5 0

2 years ago

Which expression is equivalent to 7/12?

Luden [163]

if i understand correctly what you mean by this question the answer could be

14/24

28/48

you can just keep multiplying the top and the bottom by the same number to get an equivalent fraction

im sorry if i understood the question wrong, i hope this helped a little bit

4 0

2 years ago

Read 2 more answers

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

lara31 [8.8K]

Answer:

cos Θ = $\frac{4}{\sqrt{41} }$

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = $\sqrt{41}$

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = $\frac{adjacent}{hypotenuse}$ = $\frac{4}{\sqrt{41} }$

5 0

2 years ago